Fractal of the Day
by Jim Muth

Hyperhot ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- November 18, 2002   (Rating 5)

Fractal visionaries and enthusiasts:

Today's image bears the name "Hyperhot".   The name is whimsical, since nothing in the image gives the impression of heat.   The image, with its disconnected features that appear to be multiplying, actually resembles some sort of bacterial growth, but a name such as "Festering" would not attract many viewers, so I settled on the present name.

The parent fractal, which was created by subtracting 0.93 parts of Z^(1.8) from 0.18 parts of Z^(-1.5), is shaped quite like a gigantic lobster claw, so large that two outzooms are required to fit it on the screen.   Today's scene is located in the smaller arm of the big claw.

I could rate the image no higher than a 5.   But the giant claw parent fractal holds many other interesting scenes, some of which will appear in FOTD's soon to come, and will certainly have a higher rating.

The render time of almost 1/2 hour on my machine is admittedly excessive for an image that brings little new, and can be avoided as always by downloading the completed GIF image from:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html
or from:
http://sdboyd.dyndns.org/~sdboyd/fotd/

On and off rain, and a temperature of 41F 5C marred the cats' day Sunday, but ample treats of tuna and turkey kept their dispositions within the bearable range.   This morning, we actually have a bit of sun, and a fresh breeze also.   If it stays this way, the dynamic ones should have a pleasant afternoon.

My afternoon will be pleasant when most of the work is behind me.   I finished a good chunk of it yesterday, so my task should not be too difficult.   Then it's on to the fractals.   Until fractal Tuesday, (every day is a fractal day), take care, and keep seeking for the deeper mysteries.


Jim Muth
jamth@mindspring.com
jimmuth@aol.com


START 20.0 PAR-FORMULA FILE================================

Hyperhot           { ; time=0:29:34.15--SF5 on a p200
  reset=2002 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-68.4632443290148/+100.4784377095166/802\
  3.622 params=0.18/-1.5/-0.93/1.8/0/0 float=y
  maxiter=2400 inside=0 logmap=424 periodicity=10
  colors=000BY89X7AW8AV9BUABTACSBCSCDRDDRDDQEEPFEPGF\
  OGFOHGNIGMJGMJHLKHLLIKMIJMJJNJIOJIOKKQKMSKOTKQVKSW\
  LTYLVZLX`LZaL`cMadMcfMegMgiMijNjlNlmNnoNppNrrNssSq\
  pWpm_njcmggldkjaoiZshXreZrb_q_`qXbpUcpRdoOfoLgnIhn\
  FimHjlJjlKjkMjkNkjPkiRkiSkhUlhVlgXlfZlf_leamebmddm\
  ftmerndpncnnblnajn`ik`gk`dl`ac`X``RZ_OW_KU_GR_DO_9\
  M_5J_2H`3Ia4Ja5Kb6Lb7Lc8Md9NdAOeBOeCPfDQgERgFRhGSh\
  GTiHUjIVjJVkKWkLXlMYmNYmOZnP_nQ`oR`pSapTbqUcqUcoTb\
  mSakS`jR_hQZfQYePXcOWaOV`NUZMTXMTVLSUKRSKQQJPPIONI\
  NLHMKGLIGKGFJFFJLJIQNIVRI`VIeZHjbHpfHujHzmHzmIzmJz\
  mKzmKAQKARKASKATKAUKAVKAWKAXKAYKAZKA_KA`KAaKAbKAcK\
  AdKAeKAfKAgKAhKAiKAjKAkKBiJBhJBfJBeJBcJCbJC`JC_JCY\
  ICXICVIDUIDSIDRIDPIDOIDNIJKHPIHVGH`EHfCHdIIbNI`TIZ\
  YIXbIYdHZeH_fH`gHaiGbjGckGdlGdmGeoFfpFgqFhrFitEjuE\
  kvElwElxEmvDmtDmsDmqCmpCnnCnmCnmBnmBnmBnmBomAomAom\
  AomAom9om9pm9pm9pm8qmCrmA }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }

END 20.0 PAR-FORMULA FILE==================================


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